Alright, let's work through 2969 times 5633 step by step
2969 × 5633 = 5633 × (2969)
+ 5633 × 9 that equals 50697
+ 5633 × 60 that results in 337980
+ 5633 × 900 giving us 5069700
+ 5633 × 2000 what gives us 11266000

= 16724377
